孤子间的完全非弹性碰撞和孤子的聚合作用  

Completely nonelastic interactions and fusion behaviors among solitions

作　　者：方建平[1] 

机构地区：[1]丽水学院物理系,浙江丽水323000

出　　处：《浙江师范大学学报（自然科学版）》2005年第1期21-24,共4页Journal of Zhejiang Normal University:Natural Sciences

基　　金：丽水学院重点项目(kz04008)

摘　　要：利用齐次平衡法,使广义耦合 Burgers方程通过 B¨acklund变换转化为一个线性方程,然后得到 Bur gers方程的多孤子解,进而讨论了其势函数 Dromion和 Dromion之间、Solitoff与 Solitoff之间、Dromion和Solitoff之间典型的完全非弹性作用.With help of homogeneous balance apporach and a Backlund transformation, a highter dimensional coupled Burgers system(HDCB) degenerates to a linear equation, then an exact multisolition excitation is derived. The evolution properties of the multisoliton excittation are investigated and some novel features or interesting behaviors are revealed. The results show that after interations for dromion-dromion, solitoff-solition and solitoff-dromion, they are combind some new types of localized structures. which are similar to classic particle with completely nonelatic behaviors.

关 键 词：BURGERS方程 完全非弹性碰撞 BAECKLUND变换 多孤子解 齐次平衡法 势函数 聚合作用 转化 典型 广义 

分 类 号：O175[理学—数学] G633[理学—基础数学]